220013568 has 66 divisors (see below), whose sum is σ = 635311014. Its totient is φ = 73334784.

The previous prime is 220013543. The next prime is 220013587. The reversal of 220013568 is 865310022.

It can be written as a sum of positive squares in only one way, i.e., 148644864 + 71368704 = 12192^2 + 8448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2721 + ... + 21152.

Almost surely, 2^220013568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317655507).

220013568 is an abundant number, since it is smaller than the sum of its proper divisors (415297446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220013568 is a wasteful number, since it uses less digits than its factorization.

220013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23899 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 220013568 is about 14832.8543443263. The cubic root of 220013568 is about 603.6934836441.

The spelling of 220013568 in words is "two hundred twenty million, thirteen thousand, five hundred sixty-eight".